Linear response strength functions with iterative Arnoldi diagonalization

J. Toivanen, B.G. Carlsson, J. Dobaczewski, K. Mizuyama, R.R. Rodriguez-Guzman, P. Toivanen, P. Vesely

January 30, 2010

Abstract:

We report on an implementation of a new method to calculate RPA strength functions with iterative non-hermitian Arnoldi diagonalization method, which does not explicitly calculate and store the RPA matrix. We discuss the treatment of spurious modes, numerical stability, and how the method scales as the used model space is enlarged. We perform the particle-hole RPA benchmark calculations for double magic nucleus $^{132}{\rm Sn}$ and compare the resulting electromagnetic strength functions against those obtained within the standard RPA.